diff --git a/stdlib/3.4/asyncio/coroutines.pyi b/stdlib/3.4/asyncio/coroutines.pyi
index ad0178a10..4f1eb5de7 100644
--- a/stdlib/3.4/asyncio/coroutines.pyi
+++ b/stdlib/3.4/asyncio/coroutines.pyi
@@ -1,8 +1,10 @@
-from typing import Callable, Any
+from typing import Callable, Any, TypeVar
 
 __all__ = ['coroutine',
            'iscoroutinefunction', 'iscoroutine']
 
-def coroutine(func: Callable[..., Any]) -> Callable[..., Any]: ...
+_T = TypeVar('_T')
+
+def coroutine(func: _T) -> _T: ...
 def iscoroutinefunction(func: Callable[..., Any]) -> bool: ...
 def iscoroutine(obj: Any) -> bool: ...
diff --git a/stdlib/3.4/asyncio/subprocess.pyi b/stdlib/3.4/asyncio/subprocess.pyi
index 8d383076a..a6e3b6e8b 100644
--- a/stdlib/3.4/asyncio/subprocess.pyi
+++ b/stdlib/3.4/asyncio/subprocess.pyi
@@ -1,4 +1,4 @@
-from typing import Any, AnyStr, Tuple
+from typing import Any, AnyStr, Tuple, Union
 
 __all__ = ['create_subprocess_exec', 'create_subprocess_shell']
 
@@ -35,12 +35,12 @@ class Process:
     def terminatate(self) -> None: ...
     def kill(self) -> None: ...
     @coroutine
-    def communicate(self, input: AnyStr = ...) -> Tuple[AnyStr, AnyStr]: ...
+    def communicate(self, input: bytes = ...) -> Tuple[bytes, bytes]: ...
 
 
 @coroutine
 def create_subprocess_shell(
-        *Args: AnyStr,
+        *Args: Union[str, bytes],  # Union used instead of AnyStr due to mypy issue #1236
         stdin: int = ...,
         stdout: int = ...,
         stderr: int = ...,
@@ -50,7 +50,7 @@ def create_subprocess_shell(
 
 @coroutine
 def create_subprocess_exec(
-        program: AnyStr,
+        program: Union[str, bytes],  # Union used instead of AnyStr due to mypy issue #1236
         *args: Any,
         stdin: int = ...,
         stdout: int = ...,